On Chebyshev polynomials and the inertia of certain tridiagonal matrices

K. Castillo, C.M. da Fonseca and J. Petronilho

Applied Mathematics and Computation, 2024, vol. 467, issue C

Abstract: It was first conjecture and latter proved that the inertia of a certain antipodal tridiagonal pattern that depends on a real parameter ϵ attains a certain ordered triple for all sufficiently small ϵ>0. In this note, we show how to compute upper bounds on ϵ using Chebyshev polynomials.

Keywords: Chebyshev polynomials of the second; Tridiagonal antipodal pattern (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:467:y:2024:i:c:s0096300323006665

DOI: 10.1016/j.amc.2023.128497

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